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Finding the Fourth Proportional to 316.23, 436.42 and 176.35

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Solution

The fourth proportional to 316.23, 436.42 and 176.35 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.23 : 436.42 = 176.35 : x
  2. Step 2: Convert to fraction form
    316.23/436.42 = 176.35/x
  3. Step 3: Cross multiply
    316.23x = 436.42 × 176.35
  4. Step 4: Simplify right side
    316.23x = 76,962.67
  5. Step 5: Solve for x
    x = 76,962.67/316.23
  6. Step 6: Final answer
    x = 243.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.